12=a(a-1)

Simple and best practice solution for 12=a(a-1) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 12=a(a-1) equation:


Simplifying
12 = a(a + -1)

Reorder the terms:
12 = a(-1 + a)
12 = (-1 * a + a * a)
12 = (-1a + a2)

Solving
12 = -1a + a2

Solving for variable 'a'.

Reorder the terms:
12 + a + -1a2 = -1a + a + a2 + -1a2

Combine like terms: -1a + a = 0
12 + a + -1a2 = 0 + a2 + -1a2
12 + a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
12 + a + -1a2 = 0

Factor a trinomial.
(4 + -1a)(3 + a) = 0

Subproblem 1

Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4

Subproblem 2

Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3

Solution

a = {4, -3}

See similar equations:

| 5-(2x-1)=12 | | 2(5a+4)=4a+8 | | x^2+0.25x-0.065=0 | | 3x(x+2)=2x(x+1)+0 | | Cos2.8=6.3/x | | 2y=-8x+13 | | 5x-1=1x+3 | | (5-z)(3z-2)=0 | | a(a-5)+10=2a | | (a-8)(a+7)=-2a | | 43-7x=19+5x | | -3x^2=x | | x^2+0.2x-0.065=0 | | 5(2x-3)=2(x+5)-9 | | 2(x+y)-z=2x+z | | 1/100=5/x | | 3x^2+13x^2+4x=0 | | 2x+12x=66 | | 7x+10-3= | | 3x+16+4x=-20-x-36 | | x=9y^2+4 | | 1/2x-4y=2 | | 6y+8x=88 | | 8(9w+2)-12w=46 | | log1/266 | | 2y^2+3y+35=0 | | y^2+6x+12y-6=0 | | 12n-18=6n | | 1-3y=-6 | | 3p=8p-35 | | b^2-3b-44=0 | | x-2(2x+1)=8-(3x+3) |

Equations solver categories